page_blocks

Dataset statistics

Number of variables	11
Number of observations	5473
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	67
Duplicate rows (%)	1.2%
Total size in memory	470.5 KiB
Average record size in memory	88.0 B

Variable types

NUM	11

Reproduction

Analysis started	2020-08-25 01:43:04.749480
Analysis finished	2020-08-25 01:43:24.197052
Duration	19.45 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

Dataset has 67 (1.2%) duplicate rows	Duplicates
`blackand` is highly correlated with `blackpix`	High correlation
`blackpix` is highly correlated with `blackand`	High correlation
`height` is highly skewed (γ1 = 20.37000095)	Skewed
`mean_tr` is highly skewed (γ1 = 67.42540616)	Skewed

height
Real number (ℝ_≥0)

SKEWED

Distinct count	104
Unique (%)	1.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.473232230951947
Minimum	1.0
Maximum	804.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	1
5-th percentile	2
Q1	7
median	8
Q3	10
95-th percentile	20
Maximum	804
Range	803
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	18.96056392
Coefficient of variation (CV)	1.810383222
Kurtosis	659.6587546
Mean	10.47323223
Median Absolute Deviation (MAD)	2
Skewness	20.37000095
Sum	57320
Variance	359.502984

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
8	940	17.2%
9	903	16.5%
7	831	15.2%
10	630	11.5%
6	351	6.4%
11	326	6.0%
5	271	5.0%
1	254	4.6%
12	164	3.0%
13	103	1.9%
14	89	1.6%
2	87	1.6%
4	64	1.2%
3	58	1.1%
16	46	0.8%
24	39	0.7%
17	35	0.6%
25	33	0.6%
15	20	0.4%
23	16	0.3%
22	15	0.3%
28	15	0.3%
19	11	0.2%
18	10	0.2%
38	10	0.2%
Other values (79)	152	2.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	254	4.6%
2	87	1.6%
3	58	1.1%
4	64	1.2%
5	271	5.0%
6	351	6.4%
7	831	15.2%
8	940	17.2%
9	903	16.5%
10	630	11.5%

Value	Count	Frequency (%)
804	1	< 0.1%
430	1	< 0.1%
311	1	< 0.1%
306	1	< 0.1%
304	1	< 0.1%
261	1	< 0.1%
212	1	< 0.1%
197	1	< 0.1%
187	2	< 0.1%
186	1	< 0.1%

lenght
Real number (ℝ_≥0)

Distinct count	452
Unique (%)	8.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	89.56824410743651
Minimum	1.0
Maximum	553.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	1
5-th percentile	6
Q1	17
median	41
Q3	107
95-th percentile	346
Maximum	553
Range	552
Interquartile range (IQR)	90

Descriptive statistics

Standard deviation	114.7217575
Coefficient of variation (CV)	1.280830708
Kurtosis	4.203579984
Mean	89.56824411
Median Absolute Deviation (MAD)	30
Skewness	2.104048249
Sum	490207
Variance	13161.08164

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
12	126	2.3%
13	118	2.2%
14	113	2.1%
7	112	2.0%
8	105	1.9%
11	105	1.9%
9	103	1.9%
19	102	1.9%
18	96	1.8%
20	90	1.6%
17	89	1.6%
16	83	1.5%
4	73	1.3%
22	68	1.2%
21	67	1.2%
23	66	1.2%
1	65	1.2%
10	64	1.2%
15	63	1.2%
32	62	1.1%
6	59	1.1%
33	57	1.0%
41	54	1.0%
25	54	1.0%
26	53	1.0%
Other values (427)	3426	62.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	65	1.2%
2	28	0.5%
3	33	0.6%
4	73	1.3%
5	45	0.8%
6	59	1.1%
7	112	2.0%
8	105	1.9%
9	103	1.9%
10	64	1.2%

Value	Count	Frequency (%)
553	1	< 0.1%
552	1	< 0.1%
550	2	< 0.1%
547	1	< 0.1%
544	1	< 0.1%
541	1	< 0.1%
538	4	0.1%
537	13	0.2%
536	12	0.2%
535	22	0.4%

area
Real number (ℝ_≥0)

Distinct count	1395
Unique (%)	25.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1198.4056276265303
Minimum	7.0
Maximum	143993.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	7
5-th percentile	29
Q1	114
median	322
Q3	980
95-th percentile	4590
Maximum	143993
Range	143986
Interquartile range (IQR)	866

Descriptive statistics

Standard deviation	4849.37695
Coefficient of variation (CV)	4.046523847
Kurtosis	484.7553928
Mean	1198.405628
Median Absolute Deviation (MAD)	252
Skewness	19.52376995
Sum	6558874
Variance	23516456.8

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
96	65	1.2%
77	51	0.9%
112	49	0.9%
42	44	0.8%
56	42	0.8%
72	42	0.8%
120	42	0.8%
180	40	0.7%
98	39	0.7%
91	36	0.7%
40	35	0.6%
35	34	0.6%
168	34	0.6%
126	33	0.6%
200	31	0.6%
128	31	0.6%
70	30	0.5%
144	30	0.5%
63	30	0.5%
576	29	0.5%
84	29	0.5%
140	29	0.5%
80	29	0.5%
78	28	0.5%
48	28	0.5%
Other values (1370)	4563	83.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
7	11	0.2%
8	18	0.3%
9	24	0.4%
10	17	0.3%
11	6	0.1%
12	21	0.4%
13	10	0.2%
14	19	0.3%
15	14	0.3%
16	8	0.1%

Value	Count	Frequency (%)
143993	1	< 0.1%
142290	1	< 0.1%
140752	1	< 0.1%
98368	1	< 0.1%
87234	1	< 0.1%
81954	1	< 0.1%
78352	1	< 0.1%
72204	1	< 0.1%
67626	1	< 0.1%
45760	1	< 0.1%

eccen
Real number (ℝ_≥0)

Distinct count	1511
Unique (%)	27.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	13.753976977891467
Minimum	0.006999999999999999
Maximum	537.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	0.007
5-th percentile	0.769
Q1	2.143
median	5.167
Q3	13.625
95-th percentile	46
Maximum	537
Range	536.993
Interquartile range (IQR)	11.482

Descriptive statistics

Standard deviation	30.70373722
Coefficient of variation (CV)	2.232353396
Kurtosis	59.00986276
Mean	13.75397698
Median Absolute Deviation (MAD)	3.678
Skewness	6.71721425
Sum	75275.516
Variance	942.719479

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2	120	2.2%
1	99	1.8%
1.5	68	1.2%
3	65	1.2%
4	53	1.0%
1.571	46	0.8%
5	43	0.8%
1.333	36	0.7%
1.857	35	0.6%
6	35	0.6%
1.75	30	0.5%
2.333	30	0.5%
2.5	29	0.5%
2.167	29	0.5%
9	29	0.5%
8	28	0.5%
3.5	27	0.5%
10	27	0.5%
1.143	26	0.5%
1.125	25	0.5%
7	25	0.5%
1.286	24	0.4%
16	24	0.4%
0.667	24	0.4%
1.4	24	0.4%
Other values (1486)	4472	81.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.007	1	< 0.1%
0.009	1	< 0.1%
0.012	2	< 0.1%
0.013	1	< 0.1%
0.014	1	< 0.1%
0.019	4	0.1%
0.021	2	< 0.1%
0.024	1	< 0.1%
0.026	2	< 0.1%
0.027	2	< 0.1%

Value	Count	Frequency (%)
537	1	< 0.1%
413	1	< 0.1%
379	1	< 0.1%
288	1	< 0.1%
283	1	< 0.1%
279	1	< 0.1%
278	1	< 0.1%
277	2	< 0.1%
269	3	0.1%
268.5	10	0.2%

p_black
Real number (ℝ_≥0)

Distinct count	711
Unique (%)	13.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3686424264571533
Minimum	0.052000000000000005
Maximum	1.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	0.052
5-th percentile	0.156
Q1	0.261
median	0.337
Q3	0.426
95-th percentile	0.7762
Maximum	1
Range	0.948
Interquartile range (IQR)	0.165

Descriptive statistics

Standard deviation	0.1777567501
Coefficient of variation (CV)	0.4821928714
Kurtosis	3.35189289
Mean	0.3686424265
Median Absolute Deviation (MAD)	0.08
Skewness	1.63008287
Sum	2017.58
Variance	0.03159746221

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	106	1.9%
0.286	58	1.1%
0.375	53	1.0%
0.333	52	1.0%
0.4	38	0.7%
0.357	38	0.7%
0.5	37	0.7%
0.25	34	0.6%
0.3	33	0.6%
0.292	28	0.5%
0.371	27	0.5%
0.306	27	0.5%
0.329	27	0.5%
0.417	27	0.5%
0.35	26	0.5%
0.429	26	0.5%
0.356	26	0.5%
0.36	25	0.5%
0.294	25	0.5%
0.321	25	0.5%
0.268	25	0.5%
0.339	24	0.4%
0.364	24	0.4%
0.298	24	0.4%
0.361	24	0.4%
Other values (686)	4614	84.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.052	3	0.1%
0.055	3	0.1%
0.056	1	< 0.1%
0.057	1	< 0.1%
0.059	1	< 0.1%
0.06	1	< 0.1%
0.063	3	0.1%
0.065	2	< 0.1%
0.067	1	< 0.1%
0.07	1	< 0.1%

Value	Count	Frequency (%)
1	106	1.9%
0.998	1	< 0.1%
0.994	1	< 0.1%
0.993	3	0.1%
0.992	1	< 0.1%
0.99	2	< 0.1%
0.986	1	< 0.1%
0.985	1	< 0.1%
0.984	1	< 0.1%
0.983	1	< 0.1%

p_and
Real number (ℝ_≥0)

Distinct count	700
Unique (%)	12.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.7850526219623607
Minimum	0.062
Maximum	1.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	0.062
5-th percentile	0.484
Q1	0.679
median	0.803
Q3	0.927
95-th percentile	1
Maximum	1
Range	0.938
Interquartile range (IQR)	0.248

Descriptive statistics

Standard deviation	0.1706612788
Coefficient of variation (CV)	0.2173883305
Kurtosis	0.6919281143
Mean	0.785052622
Median Absolute Deviation (MAD)	0.124
Skewness	-0.8347174978
Sum	4296.593
Variance	0.02912527208

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	639	11.7%
0.778	34	0.6%
0.75	29	0.5%
0.786	29	0.5%
0.857	28	0.5%
0.667	25	0.5%
0.889	24	0.4%
0.8	24	0.4%
0.875	23	0.4%
0.792	23	0.4%
0.886	23	0.4%
0.958	23	0.4%
0.768	22	0.4%
0.933	21	0.4%
0.927	21	0.4%
0.938	21	0.4%
0.929	20	0.4%
0.85	20	0.4%
0.818	20	0.4%
0.813	20	0.4%
0.939	19	0.3%
0.833	19	0.3%
0.872	18	0.3%
0.688	18	0.3%
0.844	18	0.3%
Other values (675)	4292	78.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.062	1	< 0.1%
0.066	1	< 0.1%
0.07	1	< 0.1%
0.071	1	< 0.1%
0.089	1	< 0.1%
0.09	1	< 0.1%
0.094	1	< 0.1%
0.095	2	< 0.1%
0.105	1	< 0.1%
0.109	1	< 0.1%

Value	Count	Frequency (%)
1	639	11.7%
0.999	3	0.1%
0.998	4	0.1%
0.997	7	0.1%
0.996	8	0.1%
0.995	3	0.1%
0.994	5	0.1%
0.993	7	0.1%
0.992	7	0.1%
0.991	16	0.3%

mean_tr
Real number (ℝ_≥0)

SKEWED

Distinct count	851
Unique (%)	15.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	6.219278275169011
Minimum	1.0
Maximum	4955.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	1
5-th percentile	1.27
Q1	1.61
median	2.07
Q3	3
95-th percentile	16
Maximum	4955
Range	4954
Interquartile range (IQR)	1.39

Descriptive statistics

Standard deviation	69.07902063
Coefficient of variation (CV)	11.10724067
Kurtosis	4816.887815
Mean	6.219278275
Median Absolute Deviation (MAD)	0.59
Skewness	67.42540616
Sum	34038.11
Variance	4771.911091

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2	93	1.7%
1.38	59	1.1%
1.4	51	0.9%
1.36	47	0.9%
1.33	46	0.8%
1.93	43	0.8%
1.5	43	0.8%
7	43	0.8%
1.71	43	0.8%
3	42	0.8%
1.83	42	0.8%
2.2	41	0.7%
1.75	40	0.7%
1.35	40	0.7%
1.29	39	0.7%
1.67	38	0.7%
8	37	0.7%
1.57	36	0.7%
1.41	36	0.7%
1.58	35	0.6%
2.33	35	0.6%
1.46	35	0.6%
1.63	34	0.6%
1.64	34	0.6%
1.69	34	0.6%
Other values (826)	4407	80.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	3	0.1%
1.02	4	0.1%
1.03	5	0.1%
1.04	3	0.1%
1.05	6	0.1%
1.06	4	0.1%
1.07	11	0.2%
1.08	5	0.1%
1.09	4	0.1%
1.11	6	0.1%

Value	Count	Frequency (%)
4955	1	< 0.1%
537	1	< 0.1%
412	1	< 0.1%
277	1	< 0.1%
257	1	< 0.1%
245.83	1	< 0.1%
214	1	< 0.1%
207	1	< 0.1%
204	1	< 0.1%
197	1	< 0.1%

blackpix
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1069
Unique (%)	19.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	365.9307509592545
Minimum	7.0
Maximum	33017.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	7
5-th percentile	12
Q1	42
median	108
Q3	284
95-th percentile	1233.2
Maximum	33017
Range	33010
Interquartile range (IQR)	242

Descriptive statistics

Standard deviation	1270.333082
Coefficient of variation (CV)	3.471512243
Kurtosis	251.7609965
Mean	365.930751
Median Absolute Deviation (MAD)	81
Skewness	13.52910554
Sum	2002739
Variance	1613746.139

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
7	64	1.2%
8	62	1.1%
9	52	1.0%
15	50	0.9%
13	48	0.9%
27	47	0.9%
14	45	0.8%
11	45	0.8%
28	44	0.8%
31	44	0.8%
24	43	0.8%
42	42	0.8%
20	42	0.8%
22	42	0.8%
47	42	0.8%
23	41	0.7%
46	39	0.7%
16	39	0.7%
53	38	0.7%
26	38	0.7%
38	37	0.7%
19	37	0.7%
12	37	0.7%
33	36	0.7%
60	36	0.7%
Other values (1044)	4383	80.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
7	64	1.2%
8	62	1.1%
9	52	1.0%
10	32	0.6%
11	45	0.8%
12	37	0.7%
13	48	0.9%
14	45	0.8%
15	50	0.9%
16	39	0.7%

Value	Count	Frequency (%)
33017	1	< 0.1%
28093	1	< 0.1%
27820	1	< 0.1%
26693	1	< 0.1%
23025	1	< 0.1%
19430	1	< 0.1%
18591	1	< 0.1%
17721	1	< 0.1%
14292	1	< 0.1%
14180	1	< 0.1%

blackand
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1718
Unique (%)	31.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	741.1081673670748
Minimum	7.0
Maximum	46133.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	7
5-th percentile	24
Q1	95
median	250
Q3	718
95-th percentile	2867.8
Maximum	46133
Range	46126
Interquartile range (IQR)	623

Descriptive statistics

Standard deviation	1881.504302
Coefficient of variation (CV)	2.538771511
Kurtosis	187.0185333
Mean	741.1081674
Median Absolute Deviation (MAD)	194
Skewness	11.14507385
Sum	4056085
Variance	3540058.438

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
89	28	0.5%
77	27	0.5%
8	25	0.5%
35	25	0.5%
56	25	0.5%
72	25	0.5%
42	25	0.5%
88	23	0.4%
54	22	0.4%
76	22	0.4%
9	22	0.4%
7	22	0.4%
84	22	0.4%
70	22	0.4%
71	21	0.4%
40	21	0.4%
14	20	0.4%
36	20	0.4%
108	20	0.4%
96	19	0.3%
49	19	0.3%
75	19	0.3%
43	19	0.3%
44	19	0.3%
110	19	0.3%
Other values (1693)	4922	89.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
7	22	0.4%
8	25	0.5%
9	22	0.4%
10	18	0.3%
11	15	0.3%
12	19	0.3%
13	18	0.3%
14	20	0.4%
15	16	0.3%
16	17	0.3%

Value	Count	Frequency (%)
46133	1	< 0.1%
42821	1	< 0.1%
35499	1	< 0.1%
34874	1	< 0.1%
25400	1	< 0.1%
25163	1	< 0.1%
23547	1	< 0.1%
23457	1	< 0.1%
23301	1	< 0.1%
23092	1	< 0.1%

wb_trans
Real number (ℝ_≥0)

Distinct count	581
Unique (%)	10.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	106.6628905536269
Minimum	1.0
Maximum	3212.0
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	1
5-th percentile	2
Q1	17
median	49
Q3	126
95-th percentile	408.4
Maximum	3212
Range	3211
Interquartile range (IQR)	109

Descriptive statistics

Standard deviation	167.3083617
Coefficient of variation (CV)	1.56857142
Kurtosis	60.95793459
Mean	106.6628906
Median Absolute Deviation (MAD)	38
Skewness	5.504535353
Sum	583766
Variance	27992.08791

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	256	4.7%
14	91	1.7%
6	84	1.5%
2	79	1.4%
11	77	1.4%
3	75	1.4%
8	75	1.4%
9	74	1.4%
12	74	1.4%
15	71	1.3%
4	71	1.3%
21	70	1.3%
13	68	1.2%
10	67	1.2%
19	66	1.2%
18	66	1.2%
20	63	1.2%
16	63	1.2%
7	62	1.1%
17	61	1.1%
27	59	1.1%
26	55	1.0%
5	55	1.0%
31	51	0.9%
23	51	0.9%
Other values (556)	3589	65.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	256	4.7%
2	79	1.4%
3	75	1.4%
4	71	1.3%
5	55	1.0%
6	84	1.5%
7	62	1.1%
8	75	1.4%
9	74	1.4%
10	67	1.2%

Value	Count	Frequency (%)
3212	1	< 0.1%
2925	1	< 0.1%
2333	1	< 0.1%
2273	1	< 0.1%
1815	1	< 0.1%
1756	1	< 0.1%
1651	1	< 0.1%
1644	1	< 0.1%
1641	1	< 0.1%
1634	1	< 0.1%

target
Real number (ℝ_≥0)

Distinct count	5
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.202631098118034
Minimum	1
Maximum	5
Zeros	0
Zeros (%)	0.0%
Memory size	42.9 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	1
median	1
Q3	1
95-th percentile	2
Maximum	5
Range	4
Interquartile range (IQR)	0

Descriptive statistics

Standard deviation	0.7214702987
Coefficient of variation (CV)	0.5999098974
Kurtosis	17.07645268
Mean	1.202631098
Median Absolute Deviation (MAD)	0
Skewness	4.143712176
Sum	6582
Variance	0.5205193918

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	4913	89.8%
2	329	6.0%
5	115	2.1%
4	88	1.6%
3	28	0.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	4913	89.8%
2	329	6.0%
3	28	0.5%
4	88	1.6%
5	115	2.1%

Value	Count	Frequency (%)
5	115	2.1%
4	88	1.6%
3	28	0.5%
2	329	6.0%
1	4913	89.8%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	height	lenght	area	eccen	p_black	p_and	mean_tr	blackpix	blackand	wb_trans	target
0	5.0	7.0	35.0	1.400	0.400	0.657	2.33	14.0	23.0	6.0	1
1	6.0	7.0	42.0	1.167	0.429	0.881	3.60	18.0	37.0	5.0	1
2	6.0	18.0	108.0	3.000	0.287	0.741	4.43	31.0	80.0	7.0	1
3	5.0	7.0	35.0	1.400	0.371	0.743	4.33	13.0	26.0	3.0	1
4	6.0	3.0	18.0	0.500	0.500	0.944	2.25	9.0	17.0	4.0	1
5	5.0	8.0	40.0	1.600	0.550	1.000	2.44	22.0	40.0	9.0	1
6	6.0	4.0	24.0	0.667	0.417	0.708	2.50	10.0	17.0	4.0	1
7	5.0	6.0	30.0	1.200	0.333	0.333	10.00	10.0	10.0	1.0	1
8	5.0	5.0	25.0	1.000	0.400	0.520	10.00	10.0	13.0	1.0	1
9	5.0	7.0	35.0	1.400	0.486	0.914	8.50	17.0	32.0	2.0	1

Last rows

	height	lenght	area	eccen	p_black	p_and	mean_tr	blackpix	blackand	wb_trans	target
5463	11.0	193.0	2123.0	17.545	0.243	0.683	1.59	516.0	1451.0	325.0	1
5464	1.0	20.0	20.0	20.000	0.850	1.000	8.50	17.0	20.0	2.0	2
5465	1.0	87.0	87.0	87.000	0.920	1.000	16.00	80.0	87.0	5.0	2
5466	1.0	279.0	279.0	279.000	0.964	1.000	38.43	269.0	279.0	7.0	2
5467	1.0	16.0	16.0	16.000	1.000	1.000	16.00	16.0	16.0	1.0	2
5468	4.0	524.0	2096.0	131.000	0.542	0.603	40.57	1136.0	1264.0	28.0	2
5469	7.0	4.0	28.0	0.571	0.714	0.929	10.00	20.0	26.0	2.0	1
5470	6.0	95.0	570.0	15.833	0.300	0.911	1.64	171.0	519.0	104.0	1
5471	7.0	41.0	287.0	5.857	0.213	0.801	1.36	61.0	230.0	45.0	1
5472	8.0	1.0	8.0	0.125	1.000	1.000	8.00	8.0	8.0	1.0	4

Most frequent

	height	lenght	area	eccen	p_black	p_and	mean_tr	blackpix	blackand	wb_trans	target	count
30	9.0	1.0	9.0	0.111	1.000	1.000	9.0	9.0	9.0	1.0	4	8
26	8.0	1.0	8.0	0.125	1.000	1.000	8.0	8.0	8.0	1.0	4	6
2	1.0	8.0	8.0	8.000	1.000	1.000	8.0	8.0	8.0	1.0	2	5
14	3.0	3.0	9.0	1.000	0.778	0.778	7.0	7.0	7.0	1.0	1	5
25	7.0	1.0	7.0	0.143	1.000	1.000	7.0	7.0	7.0	1.0	4	5
15	3.0	3.0	9.0	1.000	0.889	0.889	8.0	8.0	8.0	1.0	1	4
34	13.0	1.0	13.0	0.077	1.000	1.000	13.0	13.0	13.0	1.0	4	4
0	1.0	7.0	7.0	7.000	1.000	1.000	7.0	7.0	7.0	1.0	1	3
3	1.0	10.0	10.0	10.000	1.000	1.000	10.0	10.0	10.0	1.0	2	3
8	1.0	14.0	14.0	14.000	1.000	1.000	14.0	14.0	14.0	1.0	2	3

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows

Duplicate rows

Most frequent